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Transactions of the American Mathematical Society
Transactions of the American Mathematical Society
ISSN 1088-6850(online) ISSN 0002-9947(print)

 

Anick's spaces and the double loops of odd primary Moore spaces


Author: Stephen D. Theriault
Journal: Trans. Amer. Math. Soc. 353 (2001), 1551-1566
MSC (2000): Primary 55P35; Secondary 55Q25
Published electronically: October 11, 2000
MathSciNet review: 1709779
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Abstract:

Several properties of Anick's spaces are established which give a retraction of Anick's $\Omega T_\infty$ off $\Omega^2P^{2np+1}(p^r)$ if $r\ge2$ and $p\ge5$. The proof is alternate to and more immediate than the two proofs of Neisendorfer's.


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Additional Information

Stephen D. Theriault
Affiliation: Department of Mathematics, University of Illinois at Chicago, Chicago, Illinois 60607
Address at time of publication: Department of Mathematics, University of Virginia, Charlottesville, Virginia 22904
Email: st7b@virginia.edu

DOI: http://dx.doi.org/10.1090/S0002-9947-00-02622-2
PII: S 0002-9947(00)02622-2
Keywords: Loop space decomposition, Hopf invariant
Received by editor(s): December 1, 1998
Published electronically: October 11, 2000
Additional Notes: The author was supported in part by an NSERC Postdoctoral Fellowship
Article copyright: © Copyright 2000 American Mathematical Society